Class 10th Mathematics quizzes

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Unit 17 Sets and Functions

Mathematics II

SETS AND FUNCTIONS

1 / 15

Category: Sets and Functions

1. For any two non-empty sets A and B, AUB =U and A ∩ B = {}, then A and B are __________.

overlapping sets

none

cells

equal sets

2 / 15

Category: Sets and Functions

2. The set of natural numbers is denoted by

3 / 15

Category: Sets and Functions

3. The power set of a set A is

The set containing all elements of A

The set containing only the empty set

The set containing all subsets of A

The set containing only the universal set

4 / 15

Category: Sets and Functions

4. Which one is commutative _________.

Union

Cartesian Product

Difference

None

5 / 15

Category: Sets and Functions

5. If (x,6) = (2,y -6) then x + y = ________.

6 / 15

Category: Sets and Functions

6. The intersection of two sets A and B is denoted by

A ∩ B

A ⊂ B

A ∪ B

A ⊆ B

7 / 15

Category: Sets and Functions

7. The complement of a set A is denoted by

A∆B

A∩B

A∪B

8 / 15

Category: Sets and Functions

8. Which of the following is a set notation?

{ }

[ ]

∅

( )

9 / 15

Category: Sets and Functions

9. A function is called surjective if range ________ co-domain.

all of these

equals to

super set

subset

10 / 15

Category: Sets and Functions

10. The union of two sets A and B is denoted by

A ⊂ B

A ∩ B

A ∪ B

A ⊆ B

11 / 15

Category: Sets and Functions

11. Which one is function ________.

{ (6,7), (7,6), (6,8) }

{ (0,5), (6,0), (5,6) }

none of these

{ (2,5), (2,7), (3,8) }

12 / 15

Category: Sets and Functions

12. Which one is Subset of N?

13 / 15

Category: Sets and Functions

13. If two sets have no common elements, they are called

Finite sets

Infinite sets

Disjoint sets

Equivalent sets

14 / 15

Category: Sets and Functions

14. Which of the following is not an example of a finite set?

The set of real numbers

The set of students in a classroom

The set of months in a year

The set of vowels

15 / 15

Category: Sets and Functions

15. Which one is always bijective __________.

Into function

One-One function

Onto function

One-One correspondence

Your score is

The average score is 58%

Unit 18 Variations

Mathematics II

VARIATION

1 / 15

Category: Variations

1. In a proportion p : q :: r : s, p is called ________.

mean

first proportional

fourth proportional

third proportional

2 / 15

Category: Variations

2. If x + 5 : x + 7 = 5 : 7 then x is equal to __________.

-1

3 / 15

Category: Variations

3. The mean proportional between a2 and b2 is ______________.

-ab

√ab

a/b

4 / 15

Category: Variations

4. The fourth proportional to 3, 5, 12 is ____________.

5 / 15

Category: Variations

5. If a, b & c are in continued proportion then b is called ___________ proportion between a & c.

3rd

1st

mean

none of these

6 / 15

Category: Variations

6. If x : y = z : w then according to Componendo ___________.

x / x+y = z / z+w

x / x - y = z / z - w

x - y / x + y = z - w / z + w

x - y / y = z - w / w

7 / 15

Category: Variations

7. If 2x, 3y and 6z are in continued proportion then _______.

3y2 = 4xz

9y2 = xz

9 y2 = 12xz

y2 = 12xy

8 / 15

Category: Variations

8. If p : q = r : s then p : r = q : s this property is called _________.

alternando

invertendo

componendo

dividendo

9 / 15

Category: Variations

9. In a ratio u : v, v is called _______________.

none of these

consequent

relation

antecedent

10 / 15

Category: Variations

10. In a ratio l : m, l is called ___________.

consequent

relation

none of these

antecedent

11 / 15

Category: Variations

11. If a : b = c : d then according to invertendo property ___________.

a / b = c / d

b / a = d / c

a / c = b / d

a + b / b = c + d

12 / 15

Category: Variations

12. If x / y = w / z then according to dividendo property is ____________.

None of these

x / x + y = w / w + z

x + y / y = w + z / z

x - y / y = w - z / z

13 / 15

Category: Variations

13. If a : 4 = 15 : 5 then a = _________.

14 / 15

Category: Variations

14. If 1, 9, x and 45 are in proportion, then x = _______.

1/5

405

15 / 15

Category: Variations

15. Force and acceleration are in ___________.

inverse proportion

direct proportion

joint proportion

None of these

Your score is

Unit 19 Matrices and Determinants

Mathematics II

MATRICES AND DETERMINANTS

1 / 20

Category: Matrices and Determinants

1. If A = [2 3] and B= [-4 5] then A + B = ______________.

1. [0 0]

2. [3 5]

3. [-2 8]

4. [-6 -2]

2 / 20

Category: Matrices and Determinants

2. A non singular matrix is also called _____________ matrix.

1. identity

2. null

3. invertible

4. non-invertible

3 / 20

Category: Matrices and Determinants

3. The matrices belongs to a field of mathematics, that is ___________.

1. arithematic

2. trigonometry

3. geometry

4. linear algebra

4 / 20

Category: Matrices and Determinants

4. A matrix in which number of rows is not equal to number of columns is called _________ matrix.

1. square

2. rectangle

3. scalar

4. zero

5 / 20

Category: Matrices and Determinants

5. A _______ is a rectangular array of elements.

1. element

2. matrix

3. entry

4. order

6 / 20

Category: Matrices and Determinants

6. The horizontal line of entries in a matrix is called ___________.

1. matrix

2. row

3. column

4. zero

7 / 20

Category: Matrices and Determinants

7. A zero/null matrix is a matrix in which each element is equal to _________.

1. one

2. y

3. zero

4. x

8 / 20

Category: Matrices and Determinants

8. A square matrix is said to be ___________ matrix it its transpose is equals to itself.

1. null

2. skew-symmetric

3. symmetrix

4. identity

9 / 20

Category: Matrices and Determinants

9. _________ (1821-1895) was the first mathematician who developed the theory of matrices.

1. Pascal

2. Arthur Cayley

3. Ohm

4. Faraday

10 / 20

Category: Matrices and Determinants

10. A matrix is obtained by interchanging the rows into columns or the columns into rows, is called ________ of the matrix.

1. null

2. transpose

3. identity

4. unit

11 / 20

Category: Matrices and Determinants

11. If m denotes the number of rows and n denotes the number of columns such that m=n, then matrix is called _______ matrix.

1. Rectangular

2. Null

3. Equal

4. Square

12 / 20

Category: Matrices and Determinants

12. A singular matrix is also called __________ matrix.

1. non-invertible

2. invertible

3. identity

4. null

13 / 20

Category: Matrices and Determinants

13. The order or size of a matrix is defined by the number of __________ it contains.

1. columns

2. rows

3. rows and columns

4. elements

14 / 20

Category: Matrices and Determinants

14. A matrix is said to _______________ matrix if its transpose is equal to negative of itself.

1. skew-symmetric

2. unit

3. null

4. symmetric

15 / 20

Category: Matrices and Determinants

15. The ________ of a matrix is the transpose of the matrix of cofactors of that matrix.

1. sum

2. difference

3. inverse

4. adjoint

16 / 20

Category: Matrices and Determinants

16. A matrix having one column is called _________ matrix.

1. null

2. zero

3. row

4. column

17 / 20

Category: Matrices and Determinants

17. A matrix having one row is called _______ matrix.

1. identity

2. null

3. row

4. column

18 / 20

Category: Matrices and Determinants

18. A square matrix is called __________ matrix, if all the elements of matrix are zero except at least one element of main diagonal.

1. scalar

2. unit

3. transpose

4. diagonal

19 / 20

Category: Matrices and Determinants

19. The vertical line of entries in a matrix is called ________ of a matrix.

1. Zero

2. Row

3. Column

4. Matrix

20 / 20

Category: Matrices and Determinants

20. Two matrices are called _______ matrices, if they have same order and their corresponding elements are equal.

1. null

2. scalar

3. equal

4. identity

Your score is

The average score is 21%

Unit 20 Theory of Quadratic Equations

Mathematics II

THEORY OF QUADRATIC EQUATIONS

1 / 20

Category: Theory of Quadratic Equations

1. If one root of quadratic equation is 2 + √ 3, then other root will be ________.

2 - √3

-2 - √3

-2 + √3

2 / 20

Category: Theory of Quadratic Equations

2. The required equation whose roots are the reciprocal of the root of ax^2 + bx + c =0 is ____________.

cx^2 -bx -a =0

ax^2 +bx +c =0

cx^2 +ax + b =0

cx^2 + bx +a =0

3 / 20

Category: Theory of Quadratic Equations

3. A polynomial of second degree is called __________ equation.

Linear

Quadratic

Cubic

None of these

4 / 20

Category: Theory of Quadratic Equations

4. If α,β are the roots of x^2 -2x -15 =0, then the value of α^2 + β^2 = __________.

-34

-26

5 / 20

Category: Theory of Quadratic Equations

5. For quadratic equations, the sum of the roots = _____________.

coefficient of x^2/ constant term

constant term / coefficient of x^2

- coefficient of x / constant term

- coefficient of x/ coefficient of x^2

6 / 20

Category: Theory of Quadratic Equations

6. If sum of the roots of (p+1)x^2 + (2p+3)x + (3p + 4) = 0, is -1, then product of the root is _________.

7 / 20

Category: Theory of Quadratic Equations

7. If 1/α , 1/β are the roots of the ax^2 + bx + c =0, a ≠ 0, then α +β = ______________.

-b/c

- b/a

b/c

-c/a

8 / 20

Category: Theory of Quadratic Equations

8. The quadratic equation equation whose roots are complex cube roots.

x^2 + x + 1 = 0

x^2 + x -1 = 0

x^2 - x + 1 = 0

x^2 - x -1 =0

9 / 20

Category: Theory of Quadratic Equations

9. The solution of system of equations 3x -2y=7 and xy = 20 is _______.

{(5,-4)}

{(-5,-4)}

{(5,4)}

{(-5,4)}

10 / 20

Category: Theory of Quadratic Equations

10. If p, q are the roots of 2x^2 + 5x + 3 = 0, then p + q = ___________.

5/2

- 5/2

5/3

3/5

11 / 20

Category: Theory of Quadratic Equations

11. The area of a rectangular plot is 320m^2. The width of the plot is less 4m than the length of the plot. The length and width of the plot are _______.

20,16

22,18

12,8

35,31

12 / 20

Category: Theory of Quadratic Equations

12. The cube root of -27 are __________.

3, 3ω, -3ω^2

-3, -3ω, -3ω^2

3, 3ω, 3ω^2

3, -3ω, 3ω^2

13 / 20

Category: Theory of Quadratic Equations

13. The cube roots of unity are _____________.

1, ω, -ω^2

-1, -ω, ω^2

1, ω, ω^2

-1, ω, ω^2

14 / 20

Category: Theory of Quadratic Equations

14. If sum of the roots of a quadratic equation is b/a and the product of the roots is c/a, then equation is _____________.

ax^2 + bx + c =0

ax^2 - bx - c =0

ax^2 - bx + c =0

ax^2 + bx - c =0

15 / 20

Category: Theory of Quadratic Equations

15. If α,β are the roots of the equation x^2 -5x + 6 =0, the equation whose roots are 2α + 1, 2β + 1 is ______________.

6x^2 -13x + 6 =0

6x^2 - 35x + 25 = 0

6x^2 - 5x + 1 =0

x^2 + 12x + 35 = 0

16 / 20

Category: Theory of Quadratic Equations

16. The solution of the system of equations x^2 + y^2 = 4 and 2x^2 - y^2 = 8 is __________.

{(2,-1),(1,-2)}

{(1,0),(-1,0)}

{(-2,0), (2,0)}

{(2,2),(-2,0)}

17 / 20

Category: Theory of Quadratic Equations

17. If Δ = b^2 -4ac, of a quadratic equation with real coefficient is perfect square, the roots are ________.

real, irrational and unequal

imaginary

real and equal

real, rational and unequal

18 / 20

Category: Theory of Quadratic Equations

18. For what value of p will 3x^2 + 5x + p = 0 have equal roots?

P greater than 25/12

p = 25/12

p less than -25/12

19 / 20

Category: Theory of Quadratic Equations

19. The discriminant of 2x^2 + 5x -4 = 0 is ______________.

20 / 20

Category: Theory of Quadratic Equations

20. The nature of the roots of ax^2 + bx + 0, a ≠ 0 is determined by _____________.

product of the roots

sum of the roots

discriminant

none of these

Your score is

The average score is 24%

Unit 21 Partial Fractions

Mathematics II

PARTIAL FRACTION

1 / 5

Category: Partial Fractions

1. The fraction 2x+5 /x2+5x +6 is known as ______.

None of these

Proper fraction

Both proper and improper

Improper fraction

2 / 5

Category: Partial Fractions

2. x^3+1/(x-1)(x+2) is _____.

An identity

A constant term

Proper fraction

An improper fraction

3 / 5

Category: Partial Fractions

3. An improper fraction can be reduced into proper fractions by_____.

Addition

Multiplication

Subtraction

Division

4 / 5

Category: Partial Fractions

4. Partial fractions of x/(x-a)(x-b)(x- c) can have a form of _____.

None of these

A/(x- a) + B/(x- b) + C/(x- c)

A/(x+a) + B/(x- b) + C/(x+ c)

A/(x+ a) + B/(x+ b) + C/(x+ c)

5 / 5

Category: Partial Fractions

5. Find the partial fractions of x-3/x^3+3x are _______.

1/x +x+1/x^2+3

-1/x -x-1/x^2+3

1/x - x+1/x^2+3

-1/x + x+1/x^2+3

Your score is

The average score is 32%

Unit 22 Basic Statistics

Mathematics II

BASIC STATISTICS

1 / 20

Category: Basic Statistics

1. For each class, there is a largest number called _______.

Upper class limit

Range

Lower class limit

2 / 20

Category: Basic Statistics

2. If all numbers in data are equal, then ____.

All of these

S.D = 0

Range =0

A.M=G.M=H.M

3 / 20

Category: Basic Statistics

3. If data contain a number equal to 0, then ____cannot be computed.

H.M

Median

G.M

A.M

4 / 20

Category: Basic Statistics

4. The very basic form of data is know as _____.

Raw data

Qualitative data

Quantitative data

5 / 20

Category: Basic Statistics

5. Data is divided into _____types.

Three

Four

Two

6 / 20

Category: Basic Statistics

6. _____ in a grouped data with continuous classes are the arithmetic means of the class limit or class boundaries of the classes.

class boundaries

Class limits

Class marks

7 / 20

Category: Basic Statistics

7. ______ are the numbers used to identify a class.

Class interval

Range

Class limits

8 / 20

Category: Basic Statistics

8. _____ is the sum of all frequencies up to that class.

range

class boundaries

Cumulative frequency

9 / 20

Category: Basic Statistics

9. _____ is the difference between highest and lowest observations in the data .

Class limits

Range

Frequency

10 / 20

Category: Basic Statistics

10. The numbers which separate a class from adjoining classes are called ______.

Class interval

Class limits

Class boundaries

11 / 20

Category: Basic Statistics

11. For each class, there is a smallest number called __________.

Upper class limit

Lower class limit

Class interval

12 / 20

Category: Basic Statistics

12. _____ is the branch of mathematics which deals with the collection ,organization ,representation and analysis of data

Statistics

Algebra

Trignometry

13 / 20

Category: Basic Statistics

13. Class marks or mid points are denoted by ____.

14 / 20

Category: Basic Statistics

14. The spacing between the classes is denoted by ___.

15 / 20

Category: Basic Statistics

15. The ________is a tabular description of a grouped data, consisting of classes and corresponding frequencies.

Frequency

classes

Frequency distribution

16 / 20

Category: Basic Statistics

16. The constant difference between the LCL of a class and UCL of the next class is ______.

Spacing between the classes

Adding between the classes

Difference between the classes

17 / 20

Category: Basic Statistics

17. _____ is defined as size /length of a class, computed by finding difference between ant two consecutive LCLs or UCLs.

Class interval

Lower Class Limit

Class limits

18 / 20

Category: Basic Statistics

18. ______ are used for graphical representation of quantitative data by using the frequency table with discrete and continuous classes.

Histograms

Pie charts

Bar graphs

19 / 20

Category: Basic Statistics

19. The word ____ means something increasing by successive additions.

Assosiative

Distibutive

Cumulative

20 / 20

Category: Basic Statistics

20. The number of classes is denoted by ____.

Your score is

The average score is 9%

Unit 23 Pythagoras Theorem

Mathematics II

PYTHAGORAS THEOREM

1 / 7

Category: Pythagoras Theorem

1. If hypotenuse of an isosceles right angled triangle is 3√2 cm , then each of other side is of length _____ cm.

2 / 7

Category: Pythagoras Theorem

2. If 5 cm and 12 cm are two sides of right angled triangle ,then hypotenuse is __ cm.

3 / 7

Category: Pythagoras Theorem

3. Diagonal of a rectangle measures 6.5 cm , if its width is 2.5 cm, its length is ___cm.

4 / 7

Category: Pythagoras Theorem

4. Which of the following are the sides of a right angled triangle?

2, 3, 4

4, 5, 6

3, 4, 5

5, 6, 7

5 / 7

Category: Pythagoras Theorem

5. If a, b, c are the sides of right angled triangle , with c is the larger side ,then _____.

b^2+c^2=a^2

a^2+c^2=b^2

a^2-b^2=c^2

a^2+b^2=c^2

6 / 7

Category: Pythagoras Theorem

6. In a right angled triangle ,the greatest angle is ____.

100°

110°

80°

90°

7 / 7

Category: Pythagoras Theorem

7. In a right angled triangle hypotenuse is opposite side to ______.

Acute angle

Right angle

None

Obtuse angle

Your score is

The average score is 0%

Unit 24 Ratio and Proportion

Mathematics II

RATIO AND PROPORTION

1 / 16

Category: Ratio and Proportion

1. The ratio of a and b is written as _____.

a:b

a<b

a>b

b:a

2 / 16

Category: Ratio and Proportion

2. If a line parallel to base of a triangle and divides one side in 2:3 then it will divide other side in _____.

2:3

5:3

2:6

3:2

3 / 16

Category: Ratio and Proportion

3. The corresponding sides of two similar triangles are ______.

Equal

None of these

Proportional

un equal

4 / 16

Category: Ratio and Proportion

4. In ratio 25:18, 25 is called ______.

Proportion

Ratio

Consequent

Antecedent

5 / 16

Category: Ratio and Proportion

5. In Δ ABC , the bisector of <A divides BC in ratio ____ if m AB = 6 cm and m AC = 8 cm .

5:8

1:1

5:7

3:4

6 / 16

Category: Ratio and Proportion

6. If a line intersect two sides of a triangle in a same ratio then it is ____to other side .

Parallel

Non Parallel

Coincident

All of these

7 / 16

Category: Ratio and Proportion

7. If the ratio of two corresponding sides of similar triangle is 5:7 , then ratio of their areas is equal to _____.

7:5

5:7

25:49

25:7

8 / 16

Category: Ratio and Proportion

8. If the ratio of areas of two similar triangles is 336:121 then the ratio of its corresponding sides will be _____.

10:6

11:6

6:11

6:10

9 / 16

Category: Ratio and Proportion

9. Two equilateral triangles are also ____.

Equivalent

Similar

Congruent

Proportional

10 / 16

Category: Ratio and Proportion

10. In ratio 1:2, 2 is called ______.

Consequent

Ratio

Proportion

Antecedent

11 / 16

Category: Ratio and Proportion

11. ____ is the comparison of two quantities of same kind with same unit.

Consequent

Proporation

Ratio

Antecedent

12 / 16

Category: Ratio and Proportion

12. In a proportion, the product of means is equal to ______of extremes.

Difference

Sum

Quotient

Product

13 / 16

Category: Ratio and Proportion

13. The bisector of an angle of equilateral triangle divides the opposite side in ___.

2:3

1:1

1:2

3:2

14 / 16

Category: Ratio and Proportion

14. The symbols of similarity of triangles is _____.

↔︎

≅

15 / 16

Category: Ratio and Proportion

15. Equality of same ratios is called _______.

Conssequent

Antecedent

Proportion

Ratio

16 / 16

Category: Ratio and Proportion

16. If the ratio of corresponding sides of similar triangles is 2:x and that of areais 4:9 then x = ____.

-3

None

Both

Your score is

The average score is 8%

Unit 25 Chords of a chord

Mathematics II

CHORDS OF A CIRCLE

1 / 6

Category: Chords of a Circle

1. The hypothesis of the enunciation "One and only one circle can pass through three non-collinear points"is ______________.

Three points are non-collinear.

One and only one circle passes through three points.

Three points are coolinear.

Two circles pass through three points.

2 / 6

Category: Chords of a Circle

2. The conclusion of the enunciation ,If two chords of the circle are congruent , then they are equidistant from the centre"is ______.

Two chords of a circle are eduidistant from the center

The centre of circle is equidistant from chords

Two chords of a circle are congruent

A circle has two chords

3 / 6

Category: Chords of a Circle

3. The conclusion of the enunciation "One and only one circle can pass through three non -collinear points" is ________.

One and only one circle passes through three points.

Three points are non collinear.

Two circles pass through three points.

Three points are collinear.

4 / 6

Category: Chords of a Circle

4. The hypothesis of the emunciaton "If two chords of a circle are congruent , then they are equidistant from the centre " is __________.

Two chords of a circle are congruent

The centre of circle is eduidistant from chords

A circle has two chords

Two chords of a circle are eduidistant from the center

5 / 6

Category: Chords of a Circle

5. All circles are always _____.

Congruent

Tangent

None of these

Similar

6 / 6

Category: Chords of a Circle

6. One and only one circle passes through three ______points.

Non - Collinear

None of these

Collinear

Disjoint

Your score is

The average score is 5%

Unit 26 Tangents of a Circle

Mathematics II

TANGENTS OF A CIRCLE

1 / 11

Category: Tangents of a Circle

1. In adjacent figure, circles with centres E and C have ___ point(s) of contact.

WhatsApp-Image-2024-07-16-at-11.22.11-AM-297x300 Class 10th Mathematics quizzes

None of these

Two

One

2 / 11

Category: Tangents of a Circle

2. Tangents drawn at end points of a diameter of a circle are ______to each other.

Parallel

Perpendicular

Corresponding

Intersecting

3 / 11

Category: Tangents of a Circle

3. In the adjacent figure ,the point of tangency is __.

WhatsApp-Image-2024-07-16-at-11.49.46-AM-285x300 Class 10th Mathematics quizzes

4 / 11

Category: Tangents of a Circle

4. In the adjacent figure, circles with centres E and C ____.

Touch externally

Are congruent

Touch internally

Do not touch

5 / 11

Category: Tangents of a Circle

5. In the adjacent figure, circles with centres B and C have ___ point(s) of contact.

One

None of these

Two

6 / 11

Category: Tangents of a Circle

6. The maximum number of common tangents between two circles touching internally is ____.

7 / 11

Category: Tangents of a Circle

7. In the adjacent figure, CDE is _____.

Secant

None of these

Tangent

Chord

8 / 11

Category: Tangents of a Circle

8. Angle between the radial segment and tangent at its outer endpoint is _________.

120°

90°

45°

60°

9 / 11

Category: Tangents of a Circle

9. The maximum number of common tangents between two circles touching externally is ____.

10 / 11

Category: Tangents of a Circle

10. In the adjacent figure , AB is __________.

Tangent

Chord

None of these

Secant

11 / 11

Category: Tangents of a Circle

11. If a point is outside the circle then from this point we can draw ___ tangents to the circle.

One

None

Three

Two

Your score is

The average score is 0%

Unit 27 Chords and Arcs

Mathematics II

CHORDS AND ARCS

1 / 16

Category: Chords of a Circle

1. The conclusion of the enunciation "One and only one circle can pass through three non -collinear points" is ________.

Three points are collinear.

One and only one circle passes through three points.

Three points are non collinear.

Two circles pass through three points.

2 / 16

Category: Chords of a Circle

2. The hypothesis of the emunciaton "If two chords of a circle are congruent , then they are equidistant from the centre " is __________.

A circle has two chords

The centre of circle is eduidistant from chords

Two chords of a circle are eduidistant from the center

Two chords of a circle are congruent

3 / 16

Category: Chords of a Circle

3. A circle is an example of a _____ curve.

Simple and open

Simple and closed

Non Simple and open

Non -simple and closed

4 / 16

Category: Chords and Arcs

4. Out of two congruent arcs of the circle ,if one arc makes a central angle of 30° then the other arc will subtend the central angle :

30°

90°

75°

60°

5 / 16

Category: Chords and Arcs

5. If a chord of a circle subtends, a central angle of 60° ,then the chord and the radial segment are_______.

Parallel

Incongruent

Congruent

Perpendicular

6 / 16

Category: Chords and Arcs

6. The arc opposite to congruent central angles of a circle are always________.

Congruent

None of these

Perpendicular

Parallel

7 / 16

Category: Chords of a Circle

7. One and only one circle passes through three ______points.

Collinear

None of these

Non - Collinear

Disjoint

8 / 16

Category: Chords and Arcs

8. A pair of chords of a circle subtending two congruent central angles are ____.

Perpendicular

None of these

Incongruent

Congruent

9 / 16

Category: Chords and Arcs

9. Diameter divides the circle in to ____ parts.

Two

All of these

Four

Three

10 / 16

Category: Chords of a Circle

10. The conclusion of the enunciation ,If two chords of the circle are congruent , then they are equidistant from the centre"is ______.

The centre of circle is equidistant from chords

Two chords of a circle are congruent

Two chords of a circle are eduidistant from the center

A circle has two chords

11 / 16

Category: Chords and Arcs

11. An arc subtends a central angle of 45° then the corresponding chords will subtend a central angle of ?

60°

45°

30°

15°

12 / 16

Category: Chords and Arcs

12. The chord length of a circle subtending a central angle of 180° is always ______.

Double of redial segment

Less than redial segment

Equal to the redial segment

Half of redial segment

13 / 16

Category: Chords of a Circle

13. The hypothesis of the enunciation "One and only one circle can pass through three non-collinear points"is ______________.

One and only one circle passes through three points.

Three points are coolinear.

Two circles pass through three points.

Three points are non-collinear.

14 / 16

Category: Chords and Arcs

14. A 6 cm long chord subtends a central angle of 60° ,The redial segment of this circle is _____.

5 cm

6 cm

4 cm

8 cm

15 / 16

Category: Chords of a Circle

15. All circles are always _____.

Tangent

Similar

None of these

Congruent

16 / 16

Category: Chords and Arcs

16. The length of the chord and the redial segment of a circle are congruent ,the central angle made by the chord will be _____.

60°

90°

45°

75°

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Unit 28 Angles in a Segment of a Circle

Mathematics II

ANGLES IN A SEGMENT OF A CIRCLE

1 / 10

Category: Angle in a Segment of a Circle

1. A parallelogram inscribed in a circle is _______.

Trapezium

Rhombus

Kite

Rectangle

2 / 10

Category: Angle in a Segment of a Circle

2. The inscribed angle of major arc of the circle is ________ angle.

Right

Acute

Obtuse

Reflex

3 / 10

Category: Angle in a Segment of a Circle

3. If 2x is the measure of inscribed angle of minor arc then the central angle of corresponding major arc is ______.

4 / 10

Category: Angle in a Segment of a Circle

4. Inscribed angle of ______ is obtuse.

Minor arc

Major arc

Semi circle

All of these

5 / 10

Category: Angle in a Segment of a Circle

5. The central angle of an arc is __ than inscribed angle of corresponding arc .

Greater

Less

Greater or equal

Less or equal

6 / 10

Category: Angle in a Segment of a Circle

6. The inscribed angle of minor arc of the circle is ______angle.

Right

Acute

Reflex

Obtuse

7 / 10

Category: Angle in a Segment of a Circle

7. If 2x and 60° are the measures of inscribed angles of same segment then x = ___.

30°

60°

120°

20°

8 / 10

Category: Angle in a Segment of a Circle

8. Sum of opposite angles of cyclic quadrilateral is _______.

360°

270°

180°

90°

9 / 10

Category: Angle in a Segment of a Circle

9. The sum of central angles of all the arcs of a circle is _______.

360 °

100°

90°

180°

10 / 10

Category: Angle in a Segment of a Circle

10. _______is the circular region bounded by arc and its chords.

Circumference

Segment

Sector

Major arc

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Unit 29 Practical Geometry

Mathematics II

PRACTICAL GEOMETRY CIRCLE

1 / 19

Category: Practical Geometry - Circles

1. ____ common tangents of two equal circles intersect at the midpoint of of the line segment joining the centers of the circles.

Direct

Transverse

Parallel

External

2 / 19

Category: Practical Geometry - Circles

2. A circle which touches al the sides of the triangle is called ________.

Incircle

Excircle

Tricircle

Circumcircle

3 / 19

Category: Practical Geometry - Circles

3. ______ angles of regular polygon are equal in measures.

Exterior

None of these

Interior

Interior & exterior both

4 / 19

Category: Practical Geometry - Circles

4. right bisectors of non parallel ______intersect at the entre of the circle.

None of these

Radial segment

Tangents

Chords

5 / 19

Category: Practical Geometry - Circles

5. Each interior angle of regular hexagon is equal to ______.

90°

120°

108°

135°

6 / 19

Category: Practical Geometry - Circles

6. If two circles of radii 5 cm and 2 cm touch each other internally then the distance between their centres is ____.

7 cm

3 cm

10 cm

5cm

7 / 19

Category: Practical Geometry - Circles

7. Direct common tangents of two equal circle are ____.

Equal

Coincident

Intersecting

Parallel

8 / 19

Category: Practical Geometry - Circles

8. ________ circles can pass through three non - collinear points.

Two

Infinite

One

Three

9 / 19

Category: Practical Geometry - Circles

9. The point of intersection of internal bisectors of angles of a triangle is _________.

Incentre

Circumcentre

Centroid

Excentre

10 / 19

Category: Practical Geometry - Circles

10. A circle which touches one side of the triangle externally and two produced sides internally is called ____.

Tricircle

Incircle

Circumcircle

Excircle

11 / 19

Category: Practical Geometry - Circles

11. ______ circles can pass through a single point.

one

Infinite

Two

Three

12 / 19

Category: Practical Geometry - Circles

12. Two or more converging lines always intersect each other at _______.

Single point

Two points

None of these

More than one point

13 / 19

Category: Practical Geometry - Circles

13. The centre of inscribed circle is called _____.

In centre

Centroid

Orthocentre

Excentre

14 / 19

Category: Practical Geometry - Circles

14. If a regular hexagon is inscribed in a circle then length of each side of hexagon _____ radius of the circle.

≤

15 / 19

Category: Practical Geometry - Circles

15. ___ common tangents do not intersect line segment joining the centres of the circle.

Vertical

Direct

Internal

Transervse

16 / 19

Category: Practical Geometry - Circles

16. Right bisectors of sides of a triangle intersect each other at ______.

Centroid

Circumcentre

Excentre

Incentre

17 / 19

Category: Practical Geometry - Circles

17. Three or more sided closed figure is called _______.

Heptagon

Hexagon

Pentagon

Polygon

18 / 19

Category: Practical Geometry - Circles

18. The central angle of circle joining the points of contact of tangents is ______of the angle between the tangent.

Square

Supplement

Complement

Cube

19 / 19

Category: Practical Geometry - Circles

19. Angle between tangent and radial segment at the point of contact is _________angle.

Acute

Obtuse

Right

Reflex

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Unit 30 Introduction to Trigonometry

Mathematics II

INTRODUCTION TO TRIGONOMETRY

1 / 10

Category: Introduction to Trigonometry

1. The union of two non -collinear rays at common vertex is called _______.

Radian

An angle

A degree

A minute

2 / 10

Category: Introduction to Trigonometry

2. In unit circle for point (x , y) , sin θ =_______.

-X

-Y

3 / 10

Category: Introduction to Trigonometry

3. 10° = _____.

600'

600"

3600"

600

4 / 10

Category: Introduction to Trigonometry

4. 5 π /4 radians = ____.

45°

115°

225°

135°

5 / 10

Category: Introduction to Trigonometry

5. If sin θ = - 1/ √2 and θ lies in the 3rd quadrant , then tan θ = ?

-1

1 / √2

6 / 10

Category: Introduction to Trigonometry

6. Cosec θ .sin θ = _____.

-1

0.5

7 / 10

Category: Introduction to Trigonometry

7. 1/2 sec 45 ° = ______.

√2

1/√2

2/√2

√2 / 2

8 / 10

Category: Introduction to Trigonometry

8. The system of measurement in which angle is measured in radian is called ________.

CGS system

MKS system

Sexagesimal

Circular system

9 / 10

Category: Introduction to Trigonometry

9. If an object is above the level of an observer then the angle formed between the horizontal line and the observer 's line of sight is called __________.

An obtuse angle

An angle of depression

An angle of elevation

None of these

10 / 10

Category: Introduction to Trigonometry

10. Sec ^2 θ- tan ^2 θ = _______.